What is an equation of the line that passes through the point (2,2) and is parallel to the line x-2y=4

-2y = 4 - x

2y = x - 4

y = 1/2x - 2

1/2 is the slope of both lines.

y = mx + b

Substitute the given point and the common slope

2 = 1/2 x 2 + b

2 = 1 + b

b = 1

y = 1/2x + 1

The equation of the line that passes through the point

(2, 2) and is parallel to the line x - 2y = 4 is y = 1/2x + 1 or 2y = x + 2.

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x - 2y = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 2y = 4 ( subtract x from both sides )

- 2y = - x + 4 ( divide all terms by - 2 )

y = x - 2 ← in slope- intercept form

with slope m =

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation

To find c substitute (2, 2) into the partial equation

2 = 1 + c ⇒ c = 2 - 1 = 1

y = x + 1 ← equation in slope- intercept form

Multiply through by 2

2y = x + 2 ( subtract 2y from both sides )

0 = x - 2y + 2 ( subtract 2 from both sides )

- 2 = x - 2y, that is

x - 2y = - 2 ← equation in standard form

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: